What property of inequality can justify the math in Step 2?

Question

Step 1:

−6(3w−7)>−66

−18w+42>−66

Step 2:

−18w+42−42>−66−42

−18w>−108

Step 3:

−18w/−18 > −108/−18

w<6

(1 point)
Responses

Subtraction Property of Inequality
Subtraction Property of Inequality

Multiplication Property of Inequality
Multiplication Property of Inequality

Addition Property of Inequality
Addition Property of Inequality

Division Property of Inequality

Answer 1

The property of inequality that justifies the math in Step 2 is the Subtraction Property of Inequality.

In Step 2, you are subtracting 42 from both sides of the inequality:

\[ -18w + 42 - 42 > -66 - 42 \]

This process uses the Subtraction Property of Inequality, which states that if you subtract the same number from both sides of an inequality, the inequality remains true.